https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Chierici_et_al_2021aChierici et al 2021a - Revision history2026-04-22T21:45:30ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Chierici_et_al_2021a&diff=219136&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 130556438 to Chierici et al 2021a2021-03-11T16:01:30Z<p>Scipediacontent moved page <a href="/public/Draft_Content_130556438" class="mw-redirect" title="Draft Content 130556438">Draft Content 130556438</a> to <a href="/public/Chierici_et_al_2021a" title="Chierici et al 2021a">Chierici et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Chierici_et_al_2021a&diff=219135&oldid=prevScipediacontent: Created page with "== Abstract == The fluid-structure interaction (FSI) problem has been extensively studied, and many papers and books are available in the literature on the subject. In this w..."2021-03-11T16:01:27Z<p>Created page with "== Abstract == The fluid-structure interaction (FSI) problem has been extensively studied, and many papers and books are available in the literature on the subject. In this w..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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The fluid-structure interaction (FSI) problem has been extensively studied, and many papers and books are available in the literature on the subject. In this work, we consider some optimal FSI pressure boundary control applications by using a membrane model derived from the Koiter shell equations where the thickness of the solid wall can be neglected and the computational cost of the numerical problem reduced. We study the inverse problem with the aim of achieving a certain objective by changing some design parameters (e.g. forces, boundary conditions or geometrical domain shapes) by using an optimal control approach based on Lagrange multipliers and adjoint variables. In particular, a pressure boundary optimal control is presented in this work. The optimality system is derived from the first-order optimality condition by taking the Fréchet derivatives of the Lagrangian with respect to all the variables involved. This system is solved by using a finite element code with mesh-moving capabilities. In order to support the proposed approach, we perform numerical tests where the pressure on a fluid domain boundary controls the displacement that occurs in a well-defined region of the solid domain.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_130556438p2120.pdf</pdf></div>Scipediacontent